Linear.Quaternion:$c/ from linear-1.19.1.3, E

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample917.0ms (12.9%)

Memory
12.5MiB live, 1 255.7MiB allocated; 330ms collecting garbage
Samples
656.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 322.0ms
ival-add: 155.0ms (48.1% of total)
ival-mult: 155.0ms (48.1% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 4.0ms (1.2% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain208.0ms (2.9%)

Memory
-47.9MiB live, 310.7MiB allocated; 38ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
35.0ms512×0valid
Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 15.0ms (69.1% of total)
ival-add: 6.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess66.0ms (0.9%)

Memory
17.2MiB live, 106.3MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
18367
224247
353545
4124945
5181645
6228145
7247045
8262245
0715
01215
13013
21059
33129
46959
59989
612509
713589
814389
014388
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify26.0ms (0.4%)

Memory
1.7MiB live, 47.0MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff1
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff2
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
cost-diff4
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0741
01241
13037
210533
331233
469533
599833
6125033
7135833
8143833
0143830
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize30.0ms (0.4%)

Memory
-4.5MiB live, 49.6MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy0.0703125
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Samples
13.0ms256×0valid
Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.9% of total)
ival-mult: 3.0ms (45.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
5 → 15
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms
x
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms
y
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms
y
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms
x
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))

simplify216.0ms (3%)

Memory
26.0MiB live, 156.8MiB allocated; 32ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030121
193105
2321105
32169105
0845995
Stop Event
1×iter limit
1×node limit
Counts
15 → 15
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite170.0ms (2.4%)

Memory
-8.4MiB live, 138.4MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0739
01239
16635
272035
0941331
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 422
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (fma.f64 x x (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))))))
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(fma.f64 (/.f64 x (neg.f64 (+.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval127.0ms (1.8%)

Memory
-18.6MiB live, 82.4MiB allocated; 27ms collecting garbage
Compiler

Compiled 12 610 to 1 332 computations (89.4% saved)

prune18.0ms (0.3%)

Memory
-19.7MiB live, 26.4MiB allocated; 5ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4634467
Fresh000
Picked101
Done000
Total4644468
Accuracy
100.0%
Counts
468 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶22.8%
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
▶99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
▶60.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 79 to 43 computations (45.6% saved)

simplify256.0ms (3.6%)

Memory
9.5MiB live, 155.4MiB allocated; 28ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(+.f64 y y)
cost-diff3
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
cost-diff0
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))
cost-diff0
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
cost-diff1
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028183
047172
190166
2251166
3735166
41355166
51953166
63703166
75255166
87359166
08212165
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(pow.f64 x #s(literal 4 binary64))
x
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
(*.f64 x x)
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
y
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
(-.f64 (*.f64 y y) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (*.f64 x x))))
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(pow.f64 x #s(literal 4 binary64))
x
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
(*.f64 x x)
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x

localize110.0ms (1.5%)

Memory
19.2MiB live, 106.8MiB allocated; 13ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y y (*.f64 x x))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.015625
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
accuracy0.0703125
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
accuracy2.0507791858302062
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
accuracy8.136679530773911
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
accuracy43.48747624612934
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
accuracy0.09375
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
accuracy0.0
(*.f64 y y)
accuracy0.140625
(*.f64 #s(literal 3 binary64) (*.f64 y y))
accuracy25.355967489329988
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Samples
94.0ms256×0valid
Compiler

Compiled 174 to 28 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 63.0ms (78.6% of total)
ival-add: 8.0ms (10% of total)
ival-pow: 5.0ms (6.2% of total)
ival-div: 2.0ms (2.5% of total)
ival-sub: 2.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
9.4MiB live, 54.9MiB allocated; 5ms collecting garbage
Counts
15 → 33
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 x x)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 4 (pow y 4))
(+ (* -1 (pow x 4)) (* 4 (pow y 4)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow x 2)) (* 2 (pow y 2)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 6) (pow x 6))) (/ (pow y 2) (pow x 2)))))))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* -1 (pow x 4))
(* (pow x 4) (- (* 4 (/ (pow y 4) (pow x 4))) 1))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))
(* 3 y)
(- (* 3 (pow y 2)) (* -1 (pow x 2)))
(- (* 4 (pow y 4)) (pow x 4))
(* 2 y)
(- (* 2 (pow y 2)) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ 4 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (- (* 2 (* y y)) (* x x)))
5.0ms
y
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (- (* 2 (* y y)) (* x x)))
4.0ms
x
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (- (* 2 (* y y)) (* x x)))
4.0ms
y
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (- (* 2 (* y y)) (* x x)))
3.0ms
y
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (- (* 2 (* y y)) (* x x)))

simplify244.0ms (3.4%)

Memory
-0.5MiB live, 328.7MiB allocated; 47ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092409
1273377
2946375
36180367
08447346
Stop Event
1×iter limit
1×node limit
Counts
33 → 33
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 4 (pow y 4))
(+ (* -1 (pow x 4)) (* 4 (pow y 4)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow x 2)) (* 2 (pow y 2)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 6) (pow x 6))) (/ (pow y 2) (pow x 2)))))))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* -1 (pow x 4))
(* (pow x 4) (- (* 4 (/ (pow y 4) (pow x 4))) 1))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))
(* 3 y)
(- (* 3 (pow y 2)) (* -1 (pow x 2)))
(- (* 4 (pow y 4)) (pow x 4))
(* 2 y)
(- (* 2 (pow y 2)) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ 4 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (/ (pow x 2) (pow y 2)))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* 4 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))
(+ (* -1 (pow x 4)) (* 4 (pow y 4)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (* -1 (pow x 2)) (* 2 (pow y 2)))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) x x) x)
(* (pow x 2) (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 6) (pow x 6))) (/ (pow y 2) (pow x 2)))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -8 binary64) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x x) x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 4 (/ (pow y 4) (pow x 4))) 1))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 1 binary64)) (*.f64 x x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(- (* 3 (pow y 2)) (* -1 (pow x 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(- (* 4 (pow y 4)) (pow x 4))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(- (* 2 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 3 binary64)) (*.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 2 binary64)) (*.f64 y y))
(* (pow y 4) (+ 4 (* -1 (/ (pow x 4) (pow y 4)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 2 (* -1 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 2 binary64)) (*.f64 y y))

rewrite320.0ms (4.5%)

Memory
-17.6MiB live, 464.9MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028152
047126
1223106
22068106
08312105
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 502
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 x x)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y)
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))
(*.f64 y (fabs.f64 (fma.f64 #s(literal 2 binary64) y y)))
(*.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) y y))
(*.f64 y (*.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y))))))
(/.f64 (fabs.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64)))) (fabs.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)))))
(fma.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 y y))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) y (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
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(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (+.f64 y x) (-.f64 y x)))
(fma.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) y (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 512 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 512 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (+.f64 y x) (-.f64 y x)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (+.f64 y x) (-.f64 y x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 y #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 (+.f64 y x) (-.f64 y x)))
(fma.f64 x (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))))
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))

eval167.0ms (2.3%)

Memory
7.8MiB live, 279.8MiB allocated; 72ms collecting garbage
Compiler

Compiled 32 412 to 3 210 computations (90.1% saved)

prune33.0ms (0.5%)

Memory
16.7MiB live, 63.5MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New9715976
Fresh000
Picked224
Done000
Total9737980
Accuracy
100.0%
Counts
980 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶44.0%
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
▶60.4%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
▶30.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
▶99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
▶60.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
✓60.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 249 to 135 computations (45.8% saved)

simplify148.0ms (2.1%)

Memory
-26.2MiB live, 135.6MiB allocated; 106ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
cost-diff1
(fma.f64 y y #s(literal 0 binary64))
cost-diff3
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
cost-diff6
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff0
(+.f64 y y)
cost-diff0
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
cost-diff1
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
cost-diff1
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032198
053170
1114170
2406161
31948161
47719161
08153155
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 x x)
x
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
y
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 y y #s(literal 0 binary64))
#s(literal 0 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 x x)
x
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(*.f64 (*.f64 #s(literal -3 binary64) y) y)
#s(literal -3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y))
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
y
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 y y #s(literal 0 binary64))
(*.f64 y y)
#s(literal 0 binary64)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x

localize75.0ms (1.1%)

Memory
1.6MiB live, 194.1MiB allocated; 12ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
accuracy0.015625
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
accuracy41.27402703518245
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 y y)
accuracy0.015625
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy25.36889322752665
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy0.0
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy44.20799491693106
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.15625
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
accuracy25.355967489329988
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
accuracy0.140625
(*.f64 #s(literal -3 binary64) (*.f64 y y))
Samples
55.0ms256×0valid
Compiler

Compiled 179 to 29 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 24.0ms (59.6% of total)
ival-add: 9.0ms (22.3% of total)
ival-pow: 3.0ms (7.4% of total)
ival-div: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-8.5MiB live, 38.1MiB allocated; 3ms collecting garbage
Counts
18 → 19
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(*.f64 x x)
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
Outputs
(* 3 (pow y 2))
(- (pow x 2) (* -3 (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* -3 (pow y 2))
(* 3 y)
(* 2 y)
(* y (+ 2 y))
(* 2 (pow y 3))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((- (* x x) (* -3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* x x) (* -3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (+ (* y y) (* x x))) (+ (* y y) 0) (* 2 (pow y 3)))
2.0ms
y
@-inf
((- (* x x) (* -3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* x x) (* -3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (+ (* y y) (* x x))) (+ (* y y) 0) (* 2 (pow y 3)))
1.0ms
y
@0
((- (* x x) (* -3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* x x) (* -3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (+ (* y y) (* x x))) (+ (* y y) 0) (* 2 (pow y 3)))
1.0ms
x
@0
((- (* x x) (* -3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* x x) (* -3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (+ (* y y) (* x x))) (+ (* y y) 0) (* 2 (pow y 3)))
1.0ms
x
@inf
((- (* x x) (* -3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* x x) (* -3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* 2 (pow y 3)) (+ (* y y) 0)) (+ (* y (/ (* 2 (pow y 3)) (+ (* y y) 0))) (+ (* y y) (* x x))) (+ (* y y) 0) (* 2 (pow y 3)))

simplify178.0ms (2.5%)

Memory
4.4MiB live, 292.0MiB allocated; 31ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041117
1126117
2379117
32332117
08504108
Stop Event
1×iter limit
1×node limit
Counts
19 → 19
Calls
Call 1
Inputs
(* 3 (pow y 2))
(- (pow x 2) (* -3 (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* -3 (pow y 2))
(* 3 y)
(* 2 y)
(* y (+ 2 y))
(* 2 (pow y 3))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Outputs
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(- (pow x 2) (* -3 (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(* 2 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite140.0ms (2%)

Memory
26.3MiB live, 171.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032170
052142
123266
2362666
0822358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 307
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(*.f64 x x)
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
Outputs
(*.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 #s(literal 0 binary64) (*.f64 x x) #s(literal 0 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (*.f64 x x) #s(literal 0 binary64)))) #s(literal 0 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (*.f64 x x) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
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(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) y))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) y))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval20.0ms (0.3%)

Memory
-3.2MiB live, 43.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 6 360 to 658 computations (89.7% saved)

prune39.0ms (0.6%)

Memory
-18.4MiB live, 26.7MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1925197
Fresh000
Picked145
Done022
Total19311204
Accuracy
100.0%
Counts
204 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.0%
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
✓60.4%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
▶77.7%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
▶53.6%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
✓99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
✓60.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
✓60.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
▶30.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
▶5.6%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
▶9.5%
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
Compiler

Compiled 339 to 180 computations (46.9% saved)

simplify57.0ms (0.8%)

Memory
18.1MiB live, 64.3MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
cost-diff0
#s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
cost-diff1
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
cost-diff0
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025163
031149
167141
2179129
3465129
41002129
51517129
62132129
72788129
83154129
93371129
103371129
03371125
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x x #s(literal 0 binary64))
x
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 x x #s(literal 0 binary64))
(*.f64 x x)
x
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (* y y) (* 2 y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(+.f64 #s(literal 2 binary64) y)
(-.f64 y #s(literal -2 binary64))
#s(literal 2 binary64)
y

localize55.0ms (0.8%)

Memory
-17.3MiB live, 79.0MiB allocated; 12ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 2 binary64) y)
accuracy0.0
#s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
accuracy0.01171875
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
accuracy44.20799491693106
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
accuracy0.0
(fma.f64 x x #s(literal 0 binary64))
accuracy29.702616340459567
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy31.416558831538516
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
accuracy44.20799491693106
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
accuracy57.890561310235654
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
accuracy0.0
(fma.f64 y y (*.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy14.285393463079773
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
Samples
40.0ms256×0valid
Compiler

Compiled 118 to 17 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 23.0ms (78% of total)
ival-mult: 6.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
13 → 18
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* y (+ 2 y))
2
(+ 2 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
y
(* y (+ 1 (* 2 (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* x x)) (* x x) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (* x x) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* (+ 2 y) y) (+ 2 y))
1.0ms
y
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* x x)) (* x x) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (* x x) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* (+ 2 y) y) (+ 2 y))
1.0ms
y
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* x x)) (* x x) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (* x x) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* (+ 2 y) y) (+ 2 y))
1.0ms
x
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* x x)) (* x x) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (* x x) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* (+ 2 y) y) (+ 2 y))
1.0ms
x
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* x x)) (* x x) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (* x x) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* (+ 2 y) y) (+ 2 y))

simplify172.0ms (2.4%)

Memory
34.0MiB live, 174.8MiB allocated; 26ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033110
110994
235194
3205994
4787894
0811387
Stop Event
1×iter limit
1×node limit
Counts
18 → 17
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* y (+ 2 y))
2
(+ 2 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
y
(* y (+ 1 (* 2 (/ 1 y))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 y))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 y)
(-.f64 y #s(literal -2 binary64))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
y
(* y (+ 1 (* 2 (/ 1 y))))
(-.f64 y #s(literal -2 binary64))

rewrite277.0ms (3.9%)

Memory
-18.6MiB live, 215.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
031140
1142132
21410132
08943128
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 821
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (neg.f64 x) y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x (neg.f64 y))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x (neg.f64 y))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (neg.f64 y) (neg.f64 x))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (neg.f64 y) x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (neg.f64 y) x)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y (neg.f64 x))) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y (neg.f64 x))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x)))))
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eval170.0ms (2.4%)

Memory
25.1MiB live, 217.4MiB allocated; 27ms collecting garbage
Compiler

Compiled 22 678 to 2 076 computations (90.8% saved)

prune47.0ms (0.7%)

Memory
-22.3MiB live, 67.1MiB allocated; 11ms collecting garbage
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New6163619
Fresh000
Picked325
Done066
Total61911630
Accuracy
100.0%
Counts
630 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.0%
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
✓60.4%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
✓77.7%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
✓99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
✓60.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
53.6%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
✓60.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
38.7%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
5.6%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
✓9.5%
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
Compiler

Compiled 605 to 184 computations (69.6% saved)

regimes95.0ms (1.3%)

Memory
-16.4MiB live, 87.4MiB allocated; 13ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(fma.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (*.f64 x x)))
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 y y))
Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
Calls

5 calls:

49.0ms
(*.f64 y y)
31.0ms
x
5.0ms
y
5.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(*.f64 x x)
100.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes49.0ms (0.7%)

Memory
34.4MiB live, 80.7MiB allocated; 4ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
Calls

5 calls:

32.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
y
4.0ms
x
4.0ms
(*.f64 y y)
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(*.f64 x x)
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1x
99.9%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes90.0ms (1.3%)

Memory
-33.2MiB live, 67.5MiB allocated; 11ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
Calls

5 calls:

46.0ms
y
32.0ms
(*.f64 y y)
4.0ms
x
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(*.f64 x x)
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1x
99.9%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes52.0ms (0.7%)

Memory
14.9MiB live, 59.0MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Outputs
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
Calls

5 calls:

37.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
x
4.0ms
y
4.0ms
(*.f64 x x)
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
82.3%2(*.f64 y y)
92.1%2(*.f64 x x)
85.8%4(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
92.1%2x
82.3%2y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes7.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
92.0%2(*.f64 x x)
92.0%2x
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes37.0ms (0.5%)

Memory
-22.7MiB live, 22.3MiB allocated; 3ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Calls

2 calls:

34.0ms
x
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
87.1%2(*.f64 x x)
87.1%2x
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes44.0ms (0.6%)

Memory
-1.4MiB live, 43.7MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 x x #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Calls

5 calls:

33.0ms
y
3.0ms
x
2.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
2.0ms
(*.f64 y y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
74.2%2(*.f64 y y)
74.2%2y
53.6%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
68.2%2(*.f64 x x)
68.2%2x
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes41.0ms (0.6%)

Memory
-24.7MiB live, 34.8MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Calls

5 calls:

33.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
2.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
38.7%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
38.7%1(*.f64 x x)
38.7%1x
38.7%1(*.f64 y y)
38.7%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes8.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
Outputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
Calls

5 calls:

2.0ms
y
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
11.7%2(*.f64 x x)
11.7%2x
12.5%2(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
12.4%2(*.f64 y y)
12.4%2y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
Outputs
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
9.5%1(*.f64 x x)
9.5%1x
9.5%1(*.f64 y y)
9.5%1y
9.5%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch44.0ms (0.6%)

Memory
-13.5MiB live, 34.3MiB allocated; 1ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
1397248168838736100.0
2.1934779596441702e+21
Samples
6.0ms128×0valid
Compiler

Compiled 322 to 180 computations (44.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.5% of total)
ival-add: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
1397248168838736100.0
2.1934779596441702e+21
Samples
2.0ms48×0valid
Compiler

Compiled 362 to 196 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (82.5% of total)
ival-mult: 1.0ms (82.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Memory
-8.9MiB live, 38.3MiB allocated; 1ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
1.3202791558809983e+79
8.556169951321352e+90
Samples
31.0ms160×0valid
Compiler

Compiled 418 to 232 computations (44.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 25.0ms (90.7% of total)
ival-mult: 2.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
-33.5MiB live, 13.6MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
3.468983693722239e+152
2.4885629699834633e+153
Samples
4.0ms96×0valid
Compiler

Compiled 294 to 144 computations (51% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (41.6% of total)
ival-mult: 1.0ms (41.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.665561946555219e-234
2.687845628807099e-225
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify41.0ms (0.6%)

Memory
43.0MiB live, 43.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053331
189309
2200287
3462287
4869287
51277287
62280287
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(if (<=.f64 x #s(literal 1800000000000000000 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 x #s(literal 1400000000000000000 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 x #s(literal 13399999999999999332199862483869149856784495274881902386193451800267043448553472 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #s(literal 8949657474523425/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (+ (* y y) (* x x)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))))
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))
Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(if (<=.f64 x #s(literal 1800000000000000000 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 x #s(literal 1400000000000000000 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 x #s(literal 13399999999999999332199862483869149856784495274881902386193451800267043448553472 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2450000000000000008650373031085494873927415337806627921126917877457376886433012765610836298784682956762235427255043978727722132090823201588568789702672384 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #s(literal 8949657474523425/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) #s(approx (+ (* y y) (* x x)) #s(literal 0 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y))))
#s(approx (+ (* y y) (* x x)) #s(literal 0 binary64))

derivations2.1s (30%)

Memory
-44.3MiB live, 1 253.8MiB allocated; 194ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
031140
1142132
21410132
08943128
030121
193105
2321105
32169105
0845995
041117
1126117
2379117
32332117
08504108
092409
1273377
2946375
36180367
08447346
0739
01239
16635
272035
0941331
028152
047126
1223106
22068106
08312105
033110
110994
235194
3205994
4787894
0811387
032170
052142
123266
2362666
0822358
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 333 to 53 computations (84.1% saved)

preprocess55.0ms (0.8%)

Memory
36.2MiB live, 185.5MiB allocated; 14ms collecting garbage
Remove

(abs x)

(abs y)

Compiler

Compiled 762 to 158 computations (79.3% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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